报告题目: New types of Stirling numbers
报告时间： 2015年1月8日（星期四）09:00
报告地点： 尚贤楼108
报告主持人：数学系Istvan Mezo教授
欢迎广大师生踊跃参加！
报告摘要：
Stirling numbers of the first kind and of the second kind appear in Combinatorics and Number Theory. They naturally appear in the expansions of the falling factorial and the rising factorial. In terms of the Stirling numbers of the second kind, Bernoulli numbers can be expressed explicitly. In terms of the Stirling numbers of the first kind, Cauchy numbers can be expressed explicitly. This talk will introduce new types of Stirling numbers, generalizing the classical Stirling numbers. Then new extended Bernoulli numbers and Cauchy numbers can be defined. Several characteristic and combinatorial properties and applications will be also mentioned.
专家简介：
Takao Komatsu received the B.S. degree (Tokyo University of Science) in 1987, the M.S. degree (Gakushuin University, Tokyo) in 1989, and the Ph.D. degree from the School of Mathematics, Physics, Computing and Electronics, Macquarie University, Sydney, Australia, in 1995 under the supervision of Alfred J. van der Poorten.
From 1989 to 1992, he was a Mathematics teacher in a Tokyo municipal senior high school. From 1997 to 1998 he was an associate professor of Nagaoka National College of Technology (Japan). From 1998 to 1999 he was an associate professor of Mie University (Japan), where he was teaching Information Systems. From 1999 to 2005 he was an associate professor of Hirosaki University (Japan). From 2009 to 2014 he became a full professor. Since September 2014, he has been with the faculty of the School of Mathematics and Statistics, Wuhan University, where he is currently a full-time full professor.
Dr. Komatsu is a member of Mathematical Society of Japan and Fibonacci Association (Sustaining member). He also regularly participates and contributes to international standardization activities in many countries, including Republic of Korea, Thailand, Australia, US, Mexico, Ukraine, UK, Germany, French, Czech Republic, Morocco and Algeria.
He has authored more than 100 papers in the areas of Number Theory and Combinatorics. His research interests include Sturmian sequences, continued fractions, Fibonacci numbers, Bernoulli numbers, zeta functions, and Diophantine approximations and analysis. He is also a very active reviewer of Mathematical Reviews of American Mathematical Society and of Zentralblatt fuer Mathematik of European Mathematical Society. He has been asked to referee as many as more than 30 papers from the various international journals every year.
